Unified treatment of fractional integral inequalities via linear functionals
| Autor: | Mea Bombardelli, Sanja Varošanec, Ludmila Nikolova |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Numerical Analysis
Pure mathematics Control and Optimization Algebra and Number Theory 010103 numerical & computational mathematics Type (model theory) Lipschitz continuity 01 natural sciences Functional Analysis (math.FA) 010101 applied mathematics Mathematics - Functional Analysis Operator (computer programming) the Chebyshev inequality the Chebyshev difference fractional integral operator isotonic linear functional Lipschitz function Hadamard transform Isotonic FOS: Mathematics Discrete Mathematics and Combinatorics 0101 mathematics 26D20 Analysis Mathematics Variable (mathematics) |
| Popis: | In the paper we prove several inequalities involving two isotonic linear functionals. We consider inequalities for functions with variable bounds, for Lipschitz and H\" older type functions etc. These results give us an elegant method for obtaining a number of inequalities for various kinds of fractional integral operators such as for the Riemann-Liouville fractional integral operator, the Hadamard fractional integral operator, fractional hyperqeometric integral and corresponding q-integrals. |
| Databáze: | OpenAIRE |
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